There are two ways to take out swirls. Some products use a very fine abrasive to grind away small amounts of clear coat, some are fillers with the same refractive index as clear coat. As long as you can't feel the scratches (e.g. with a fingernail) either will work. A lot of people swirl their paint something fierce by improperly washing them. If the entire body is swirled up (notorious on black cars) you probably want to either use a filler wax or consult a pro.

If you can actually feel the scratches the clearcoat may have been compromised. Seek out a pro in that case.